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Finding the Fourth Proportional to 188.93, 284.51 and 169.90

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Solution

The fourth proportional to 188.93, 284.51 and 169.90 is: 255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.93 : 284.51 = 169.90 : x
  2. Step 2: Convert to fraction form
    188.93/284.51 = 169.90/x
  3. Step 3: Cross multiply
    188.93x = 284.51 × 169.90
  4. Step 4: Simplify right side
    188.93x = 48,337.96
  5. Step 5: Solve for x
    x = 48,337.96/188.93
  6. Step 6: Final answer
    x = 255.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.